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Finding the Third Proportional to 15,832.13 and 33,781.50

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Solution

The third proportional to 15,832.13 and 33,781.50 is: 72,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.13 : 33,781.50 = 33,781.50 : x
  2. Step 2: Convert to fraction form
    15,832.13/33,781.50 = 33,781.50/x
  3. Step 3: Cross multiply
    15,832.13x = 33,781.50 × 33,781.50
  4. Step 4: Simplify right side
    15,832.13x = 1,141,189,742.25
  5. Step 5: Solve for x
    x = 1,141,189,742.25/15,832.13
  6. Step 6: Final answer
    x = 72,080.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.